If you continue to study mathematics into college, you may take a course called Differential Equations. There you will learn that the solution to the differential equation is the general function . What is the inverse of this function?

Inverse Properties of Logarithms

By the definition of a logarithm, it is the inverse of an exponent. Therefore, a logarithmic function is the inverse of an exponential function. Recall what it means to be an inverse of a function. When two inverses are composed, they equal . Therefore, if and , then: